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56944896 = 283531399
BaseRepresentation
bin1101100100111…
…0100100000000
310222011002201020
43121032210000
5104034214041
65352305440
71261011051
oct331164400
9128132636
1056944896
112a1645a8
12170a2280
13ba4a508
1477c4728
154eec866
hex364e900

56944896 has 72 divisors (see below), whose sum is σ = 154526400. Its totient is φ = 18610176.

The previous prime is 56944847. The next prime is 56944897. The reversal of 56944896 is 69844965.

It is a super-3 number, since 3×569448963 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (56944897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40005 + ... + 41403.

It is an arithmetic number, because the mean of its divisors is an integer number (2146200).

Almost surely, 256944896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56944896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77263200).

56944896 is an abundant number, since it is smaller than the sum of its proper divisors (97581504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56944896 is a wasteful number, since it uses less digits than its factorization.

56944896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1457 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 56944896 is about 7546.1842013033. The cubic root of 56944896 is about 384.7260568815.

The spelling of 56944896 in words is "fifty-six million, nine hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1399 1696 2544 2798 3392 4197 5088 5596 6784 8394 10176 11192 13568 16788 20352 22384 33576 40704 44768 67152 74147 89536 134304 148294 179072 222441 268608 296588 358144 444882 537216 593176 889764 1074432 1186352 1779528 2372704 3559056 4745408 7118112 9490816 14236224 18981632 28472448 56944896